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Finding the Fourth Proportional to 1,176.19, 1,622.64 and 783.34

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Solution

The fourth proportional to 1,176.19, 1,622.64 and 783.34 is: 1,080.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.19 : 1,622.64 = 783.34 : x
  2. Step 2: Convert to fraction form
    1,176.19/1,622.64 = 783.34/x
  3. Step 3: Cross multiply
    1,176.19x = 1,622.64 × 783.34
  4. Step 4: Simplify right side
    1,176.19x = 1,271,078.82
  5. Step 5: Solve for x
    x = 1,271,078.82/1,176.19
  6. Step 6: Final answer
    x = 1,080.67

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.